Answer:
500 students appeared in the examination.
Step-by-step explanation:
Each event represents a set in the Venn diagram, and we use it to find the desired values.
I am going to say that:
Event A: Passed in English.
Event B: Passed in Science.
80% passed in English
This means that [tex]P(A) = 0.8[/tex].
75% passed in Science
This means that [tex]P(B) = 0.75[/tex]
5% failed in both subjects.
This means that 100% - 5% = 95% passed at least one of these subjects, so [tex]P(A \cup B) = 0.95[/tex].
Proportion that passed both subjects:
This is [tex]P(A \cap B)[/tex]
These percentages are related by the following equation:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
So
[tex]P(A \cap B) = 0.8 + 0.75 - 0.95 = 0.6[/tex]
Number of students in class:
60% of the total number t passed both subjects. This is equals to 300. So
[tex]0.6t = 300[/tex]
[tex]t = \frac{300}{0.6}[/tex]
[tex]t = 500[/tex]
500 students appeared in the examination.
x multiplied by 7 then 18
subtronted form the product
Answer:
7x - 18
Step-by-step explanation:
x multiplied by seven = 7x
eighteen subtracted from product (7x) = -18
7x - 18
Answer:
7x-18
Step-by-step explanation:
the ans is 7x-18 because x is multiplied to 7 so its 7x
Which graph represents the function?
f(x)=x+2‾‾‾‾‾√3
Answer:
the correct answer is the last one to the right side
Answer:
Equation :
f(x) = ³√x+2
The fourth option.See image.
I hope the image helps.
A large tank holds ×5107 gallons of oil. How much oil can be stored in 23 tanks
plss help me i need ur guys help and if u dont i fail plsssss help im begging u
Answer: 37 hours.
Step-by-step explanation:
All you really have to do is divide 259 by 7.
Answer:
37 hours
Step-by-step explanation:
You would need to divide 259 by 7 creating your sum.
Graphing plobem 8th grade. First anserw gets brainest
Answer: -5 is equal to x
Step-by-step explanation:
This is since you just make y = 0 to solve, so
0=x+5
= -5=x
Answer:
x=-8 and y=2 / x=-5 and x=5
Step-by-step explanation:
put x as 0 to find y
y=1÷4x+2
y=1÷4×0+2
y=0+2
y=2
put y as 0 to find x
y=1÷4x+2
0=1÷4x+2
-2+0=1÷4x
-2=1÷4x
1÷4x=-2
1x=-2×4
x=-8
y=x+5
0=x+5
x=-5
y=0+5
y=5
For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2+5
Answer:
honestly I don't know the answer
A store pays $3 for a box of plastic spoons and marks the price up by 5%. What is the
amount of the mark-up?
$
Answer:
givens
3$
5%
clue word Up
operation to be use : Multiplication
Number Sentence 3x( 5÷100=0.05 )
3x0.05=N
The Answer Is
3x0.05 = 0.15
$0.15 Is the Amount Of the Mark-Up
Hope It's Help (づ￣ ³￣)づ
[ I spend 3:00 minutes This solved It ]
57/4 × 1/6 = 57/24 =
57/24 = 19/8 (divide numerator and denominator by 3)
Hope this helps.
Q) 57/4 × 1/6 = 57/24 = ?
→ 57/4 × 1/6
→ 57/24 = 19/8
Therefore the final answer is,
→ 57/4 × 1/6 = 57/24 = 19/8
breh so listen up
Why do girls, when starting a convo start with- "hey" usually
I mean I don't mind, but then when you try to bring spark they seem hella dry.
Example:
Girl - "Hey"
Boy - "Hey what's good?"
Girl - "Nm you?"
Boy - Pretty lit, when out with my boys recently. You go out places"
Girl - "eh id.k"
Boy *t.f? What she mean id.k....
Boy - "That's cool Quarentine sh.it anyway, you do anything to kill the time doe?"
Girl - "id.k"
Girls Message left on Read
No cap, I end it right there. If you dry, don't waste time. Lol who goes through this?
Stop starting them convos if you aint bout that game bro.
Answer:
either she's nervous and doesn't know how to talk or she's mad at you. i would say she doesn't like u but she started the convo
What is the slope of the line that passes through the points (-9, 8)(−9,8) and (-21, 10) ?(−21,10)?
Answer:
slope=-1.5
Step-by-step explanation:
Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class: 0−<5 5−<10 10−<15 15−<20 20−<30 30−<40 40−<60 60−<90 Rel freq: 0.176 0.169 0.179 0.139 0.193 0.075 0.040 0.029
A) What proportion of the sampled angles are at least 30°? (Round your answer to three decimal places.)
B) Roughly what proportion of angles are between 10° and 25°? (Round your answer to three decimal places.)
C) Construct a histogram. Comment on any interesting features. Select all that apply
1. There are two obvious outliers.
2. Without more precise information, we cannot tell if the data contain outliers.
3. The distribution of misorientation angles is approximately symmetric.
4. The distribution of misorientation angles is heavily negatively skewed.
5. The distribution of misorientation angles is heavily positively skewed.
6. The distribution of misorientation angles is bimodal.
Answer:
Step-by-step explanation:
From the information given:
Classes Relative Frequency
0 - < 5 0.176
5 - < 10 0.169
10 - < 15 0.179
15 - < 20 0.139
20 - < 30 0.193
30 - < 40 0.075
40 - < 60 0.040
60 - < 90 0.029
1
(a)
So from above; the proportion of samples that are at least 30° can be computed as:
P(at least 30°) = (0.075 + 0.040 + 0.029)
P(at least 30°) = 0.144
(b)
The proportion of angles between 10° and 25° = (0.179 + 0.139 + 0.193)
= 0.511
(c) The histogram is constructed by using the EXCEL. The step in making the histogram include;
Insert the class and relative frequency as a data set in the excel sheetSelect relative frequencychoose insertselect chartchose 2-D column(make sure you choose the first option)select bars and tap format series, then adjust the gaps.From the histogram, the chart doesn't show an outlier. The relative frequency is not also symmetrically distributed relating to the class due to the fact that the histogram does not possess a bell shape curve. Finally, we cannot determine if the distribution is positively skewed or negatively skewed because the distribution is bimodal.
6. The distribution of misorientation angles is bimodal.
In how many ways can you
select 3 books to bring on
vacation from a group of 11
books?
Answer:
165
Step-by-step explanation:
In 165 ways i can select 3 books to bring on vacation from a group of 11 books.
What is Combination?A combination is when you choose data from a group without any order or sequence. If the group of data is relatively lesser, you can calculate the number of possible combinations.
According to the question
Select 3 books to bring on vacation from a group of 11 books.
By using combinations formula
[tex]^{n} C _{r}=\frac{n!}{r!(n-r)!}[/tex]
[tex]^{11} C_{3}[/tex] = [tex]\frac{11!}{3!(11-3)!}[/tex]
= [tex]\frac{11.(10)(9)(8!)}{3!.8!}[/tex]
Cancelling out 8! from denominator and numerator
= [tex]\frac{11(10)(9)}{3(2)(1)}[/tex]
= 165
Thus, In 165 ways i can select 3 books to bring on vacation from a group of 11 books.
Find out more information about combinations here
https://brainly.com/question/13387529
#SPJ3
Solve −2x − 15 = 6x + 9. (1 point) Question 5 options: 1) 3 2) −3 3) −1 4) 6
Answer:
2) x = -3
Step-by-step explanation:
Collect like terms, so gather all your x's on one side, and numbers in the other. Add -6x and +15 to both sides, so you get -2x - 6x = +9 + 15, so we have -8x = 24, divide both sides by -8 you get x = -3.
what is equifenlnt to 35000 cm in kelomiters
Answer:
.35 kilometers
Step-by-step explanation:
Answer:
.35 kilometers
Step-by-step explanation:
9/4 ÷ 3/4 = ??????????
3/1 so 3
9 \3 = 3
4/4= 1
the denominator is 1 because they are both the same whole number.
REMEMBER: (you are beautiful and deserve the world. you deserve to be treated like it. U deserve love, and i know without a shadow of doubt you will find it. you are that amazing. Your story is not to be silenced its your story so own it!
I hope this helped you and i hope you have a wonderful rest of your day :)
~hailey lee~
help me out please :(?
Answer:
3x2+15x=18
Step 1: Subtract 18 from both sides.
3x2+15x−18=18−18
3x2+15x−18=0
Step 2: Factor left side of equation.
3(x−1)(x+6)=0
Step 3: Set factors equal to 0.
x−1=0 or x+6=0
x=1 or x=−6
Answer:
A
I worked them out myself so if their wrong uh please don't get mad I tried my best.
Step-by-step explanation:
3x (2) + 15x = 18 3x (2) + 15x = 18
6x + 15x = 18 6x + 15x = 18
-6x + -6x = 18 -18 -18
-------------------------- ------------------------
0 + 9x = 18 6x + -3 = 0
------ ------- -3 + -3
18 18 --------------------
x = 2 -3 + 0
X = -3
Holly shipped a 5-pound package for $4. She shipped a 3-pound package for $3.60 and a l-pound l package for $3.20. A 10-pound package cost $5 to ship. The cost follows a pattern based on the
weight. Which expression could be used
to find the shipping cost for a package
of p pounds?
Answer:
the answer would be A
Step-by-step explanation:
The cost seems to start at 3 and increase by each pound times .20 cents. Ex: 1 x .20 =.20 + 3 =3.20
The speed of a fish before jumping out of the water can be represented by the equation s = 3h, where h
represents the height, in centimeters, the fish jumps out of the water and s represents the speed of the fish in
meters per second. If the fish is swimming at 15 meters per second before jumping out of the water, how high
can the fish jump?
Answer: The fish can jump 5m high.
Step-by-step explanation:
Given that
s = 3h
where
h = the height(cm) the fish jumps out of the water
and s = speed of the fish(meters per second) then
3 must have seconds as its unit.
Now, If the fish is swimming at 15 meters per second
Then the fish can jump =
s= 3h
15m/s =3h
h= 15m/s/3s
h= 5 meters
please help !!!! Compare the table and equation.
x y
4 12
5 15
6 18
Equation: y = 3x
Which representation has the greatest slope?
A. The table and equation have the same slope.
B. Their slopes cannot be determined.
C. The equation has the greatest slope.
D. The table has the greatest slope.
Answer
I think A or c
Step-by-step explanation:
Your answer to this would be A, The table and equation of the same slope.
To find this, just divide Y by X. For ex, this could look something like 12 divided 4, 15 divided by 5, or 18 divided by 6.
To figure this out too, you can plug in the X and Y components into the equation to see if it checks out.
If you need any further help, please do not hesitate to ask or message me!!
Write 22 as a product of three primes
For a 5 star rating and heart/thanks
A concave octagon
B convex quadrilateral
C concave quadrilateral
D convex octagon
Answer: concave
Step-by-step explanation:
A toy train has 8 compartments and an engine that is 8 inches long. Each compartment is 4 inches long. Each compartment is joined by links that are 3 inches long. How long is that train.
Answer:
64in
Step-by-step explanation:
links=8*3=24
compartments + engine=4*8+8=40
40+24=64
Graph identify the solution. y =-3/5x-3. y=3
Answer:
X= -10
Step-by-step explanation:
Prove that
sinAtanA/1-cosA
= 1 + SECA
Answer:
The proof is done in the step-by-step explanation below.
Step-by-step explanation:
We are given the following identity:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}}[/tex]
And we have to show that this is equals to:
[tex]1 + \sec{A}[/tex]
Multiplying numerator and denominator by the conjugate of the denominator:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}} \times \frac{1+\cos{A}}{1+\cos{A}}[/tex]
[tex]\frac{\sin{A}\tan{A}(1+\cos{A})}{1 - \cos^2{A}}[/tex]
We use these following identities:
[tex]\sin^2{A} + \cos^2{A} = 1[/tex]
So
[tex]1 - \cos^2{A} = \sin^2{A}[/tex]
Also:
[tex]\tan{A} = \frac{\sin{A}}{\cos{A}}[/tex]
Then
[tex]\frac{\sin{A}\sin{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{\sin^2{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{1 + \cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + \frac{\cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + 1[/tex]
Since:
[tex]\sec{A} = \frac{1}{\cos{A}}[/tex]
We have that:
[tex]1 + \sec{A}[/tex]
Thus, the proof is done.
Reasoning : The equation below describes a proportional relationship between x and y. What is the
constant of proportionality? Use pencil and paper. Explain why your answer is called the "constant of
proportionality."
y = 7.87x
Answer:
The constant of proportionality is 7.87.
Step-by-step explanation:
The relation between x and y is given by the equation :
y = 7.87x
y is directly proportional to x i.e.
y ∝ x
To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of proportionality is 7.87.
A pair of shoes is on sale for 40%. This would save you $30 from the price. About what is the original cost of the shoes?
Answer:
$75
Step-by-step explanation:
Solve: 10 13/15 - 6 2/5 = *
Answer:4.46666666667
your welcome
Answer:
4 7/15
Step-by-step explanation:
What value of x and y will make the polygon a parallelogram
105°
V
15x
Answer
60
Step-by-step explanation:
105+15= 120
180-120=60
I think this is the correct answer but I dont know
HELPPPPP ME PLEASEEEE
Answer:
4x-8 = 4x+12
Step-by-step explanation:
you multiply everything in the parentheses by what is outside of it
4(x-2) = 2(2x+6)
4(x)=4x & 4(-2)=-8 2(2x)=4x & 2(6)=12 then write the numbers as an equation:
4x-8 = 4x+12
please help !!!!!
What is the slope of the line shown in the graph?
A. -3/2
B. -1/2
C. 3/2
Answer:
-3/2
Step-by-step explanation:
Answer:
The slope of the line shown is -3/2.
Step-by-step explanation:
You can find this by using the rise/run method between the two points.
Between the two points, the line falls 3 units down (this is the rise part) and goes 2 units to the right (this is the run part). Since the line falls 3 units down between the two points, this number would be -3, and since it runs to the right by two units, the slope can be identified as -3/2.